题目内容
计算:(x+y)n•[2(x+y)10-n-3(x+y)2(x-y)n]=
2(x+y)10-3(x+y)n+2(x-y)n
2(x+y)10-3(x+y)n+2(x-y)n
.分析:将(x+y),(x-y)看作一个整体,根据单项式与单项式相乘的法则计算即可求解.
解答:解:(x+y)n•[2(x+y)10-n-3(x+y)2(x-y)n]
=2(x+y)n+10-n-3(x+y)n+2(x-y)n
=2(x+y)10-3(x+y)n+2(x-y)n..
故答案为:2(x+y)10-3(x+y)n+2(x-y)n.
=2(x+y)n+10-n-3(x+y)n+2(x-y)n
=2(x+y)10-3(x+y)n+2(x-y)n..
故答案为:2(x+y)10-3(x+y)n+2(x-y)n.
点评:考查了整式的混合运算,关键是整体思想的运用.
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